Subgroups — C₉⋊#3928 #13083689

Order 1440.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×#672	C₂	1	1	yes	maximal, characteristic
2	C₃⋊#3928	—	3	1	no	maximal
3	C₅×C₈×C₉	C₄	1	1	yes	characteristic
4	C₉⋊C₃₂	—	5	1	no	maximal, Hall
5	C₃×#672	D₃	1	1	yes	characteristic
6	C₄×C₅×C₉	C₈	1	1	yes	characteristic
7	#3928	—	9	1	no	Hall
8	C₉×C₁₆	—	5	1	no	—
9	C₃×C₅×C₈	Dic₃	1	1	yes	characteristic
10	C₃⋊C₃₂	—	15	1	no	—
11	C₂×C₅×C₉	C₁₆	1	1	yes	characteristic
12	#672	D₉	1	1	yes	characteristic
13	C₈×C₉	AGL(1,𝔽₅)	1	1	yes	characteristic
14	C₃×C₄×C₅	C₃⋊C₈	1	1	yes	characteristic
15	C₃×C₁₆	—	5	1	no	—
16	C₅×C₉	C₃₂	1	1	yes	characteristic, complemented, Hall
17	C₅×C₈	Dic₉	1	1	yes	characteristic
18	C₄×C₉	#170	1	1	yes	characteristic
19	C₃₂	—	45	1	no	Sylow
20	C₂×C₃×C₅	C₃⋊C₁₆	1	1	yes	characteristic
21	C₃×C₈	ΓL(1,𝔽₁₆)	1	1	yes	characteristic
22	C₄×C₅	C₉⋊C₈	1	1	yes	characteristic
23	C₂×C₉	#674	1	1	yes	characteristic
24	C₁₆	—	5	1	no	—
25	C₃×C₅	C₃⋊C₃₂	1	1	yes	characteristic
26	C₃×C₄	C₃⋊#170	1	1	yes	characteristic
27	C₂×C₅	C₉⋊C₁₆	1	1	yes	characteristic
28	C₉	#3928	1	1	yes	characteristic, complemented, Sylow
29	C₈	C₉⋊AGL(1,𝔽₅)	1	1	yes	characteristic
30	C₂×C₃	C₃⋊#674	1	1	yes	characteristic
31	C₅	C₉⋊C₃₂	1	1	yes	characteristic, complemented, Sylow
32	C₄	C₉⋊#170	1	1	yes	characteristic
33	C₃	C₃⋊#3928	1	1	yes	characteristic
34	C₂	C₉⋊#674	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.